Geometry/Physics Seminar

Title: Holomorphic fusion rules in Chern-Simons theory
Speaker: Professor Sergiy Koshkin
Speaker Info: Northwestern University
Brief Description:
Special Note:

I will describe a class of complex threefold singularities that produce large N dual pairs. Each pair consists of a 3-manifold and a Calabi-Yau threefold with conjecturally related Chern-Simons and Gromov-Witten invariants respectively. The 3-manifolds that occur are of a special kind (graph manifolds), and their Chern-Simons invariants can be computed using only fusion rules, a part of the theory that does not involve Drinfeld's R-matrix. This is fortuitous because as I will explain, the fusion rules can be modified to produce holomorphic functions that reduce to the conventional invariants under a specialization of variables. These functions are expected to generate the Gromov-Witten invariants of the dual Calabi-Yau threefolds.
Date: Thursday, November 29, 2007
Time: 4:00pm
Where: Lunt 107
Contact Person: Prof. Gabriel Kerr
Contact email: gdkerr@math.northwestern.edu
Contact Phone: 773-936-6405
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